Dilution Factor and Scale Factor

Step 1 ) The scale factor (SF)

The scale factor is defined as the ratio between the carbon and the bound nucleon data to the cross section.

Data information
• Period 07 (TPol <=)
• Topology : γ p -> p π+ ( π- )
• BPol 00 = BPol(->) + BPol(<-)

	SM : Subtraction Method FM : Fitting Method QFM : Q-Factor Method
φ Bin [20] φ Bin [5]

Fitting Method			Q-Fact Method
	W[04]=1.40 W[05]=1.45 W[06]=1.50 W[07]=1.55 W[08]=1.60 W[09]=1.65 W[10]=1.70 W[11]=1.75 W[12]=1.80 W[13]=1.85 W[14]=1.90 W[15]=1.95 W[16]=2.00 W[17]=2.05 W[18]=2.10	W[04]=1.40 W[05]=1.45 W[06]=1.50 W[07]=1.55 W[08]=1.60 W[09]=1.65 W[10]=1.70 W[11]=1.75 W[12]=1.80 W[13]=1.85 W[14]=1.90 W[15]=1.95 W[16]=2.00 W[17]=2.05 W[18]=2.10

Step 2 ) The dilution factor (DF)

The dilution factor is defined as the ratio between the free proton and the butanol data to the cross section.

The missing mass cut for the DF
• Topology : &gammal p -> p π+ ( π- ) : 72 - 203 MeV

φ Bin [20] φ Bin [5]

Step 3 ) The dilution factor (DF) in WBin

• After the bin data of θ angle and φ angle are integrated, the dilution factor for the fitting method(FM) and Q-factor method(QFM) are calculated in each bin.
• The scale factor for the subtraction method(SM) in each WBin is found by the fitting. The dilution factor is calculated from that scaled factor.

Q-Factor Method	Fitting Method
Subtraction Method